What is the 1366th prime number?
The 1366th prime number is 11299. The next prime is 11311 (a gap of 12) and the one before is 11287.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1366th one is 11299.
- 2
11299 is prime because no prime up to ā11299 ā 106.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1366th prime is close to 1366 Ć ln(1366) ā 9862, and here it is 11299.
- 4
11299 has no twin: neither 11297 nor 11301 is prime.
Primes around the 1366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1363 | 11273 | 12 |
| 1364 | 11279 | 6 |
| 1365 | 11287 | 8 |
| 1366 | 11299 | 12 |
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
Questions
What is the 1366th prime number?
11299.
Which prime number is 11299?
11299 is the 1366th prime number.
What is the sum of the first 1366 primes?
7,194,451.